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Finding the Fourth Proportional to 2,314.40, 3,464.40 and 1,824.80

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Solution

The fourth proportional to 2,314.40, 3,464.40 and 1,824.80 is: 2,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.40 : 3,464.40 = 1,824.80 : x
  2. Step 2: Convert to fraction form
    2,314.40/3,464.40 = 1,824.80/x
  3. Step 3: Cross multiply
    2,314.40x = 3,464.40 × 1,824.80
  4. Step 4: Simplify right side
    2,314.40x = 6,321,837.12
  5. Step 5: Solve for x
    x = 6,321,837.12/2,314.40
  6. Step 6: Final answer
    x = 2,731.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.